(-1+1/2)*(-1+1/3).*(-1+1/100)
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![(-1+1/2)*(-1+1/3).*(-1+1/100)](/uploads/image/z/8690301-45-1.jpg?t=%28-1%2B1%2F2%29%2A%28-1%2B1%2F3%29.%2A%28-1%2B1%2F100%29)
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(-1+1/2)*(-1+1/3).*(-1+1/100)
(-1+1/2)*(-1+1/3).*(-1+1/100)
(-1+1/2)*(-1+1/3).*(-1+1/100)
(-1+1/2)*(-1+1/3).*(-1+1/100)
=(-1/2)*(-2/3).*(-99/100)
=-1/100
2到100是99个数,那么这个算式是99个负数相乘,结果是负数
(-1+1/2)*(-1+1/3).....*(-1+1/100)
=﹣ 1/2×2/3×3/4······×99/100 ————分子分母约分
=﹣1/100